{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:32.105326Z",
     "start_time": "2020-07-02T18:10:30.892576Z"
    }
   },
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append('../')\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from porousmedialab.batch import Batch\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:32.109116Z",
     "start_time": "2020-07-02T18:10:32.106888Z"
    }
   },
   "outputs": [],
   "source": [
    "tend = 470 * 24 * 60 * 60\n",
    "dt = 60 * 60 * 12"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:32.113975Z",
     "start_time": "2020-07-02T18:10:32.111291Z"
    }
   },
   "outputs": [],
   "source": [
    "bl = Batch(tend, dt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:32.126453Z",
     "start_time": "2020-07-02T18:10:32.116571Z"
    }
   },
   "outputs": [],
   "source": [
    "# Bacteria:\n",
    "bl.add_species(name='X_F', init_conc=5e-4)\n",
    "bl.add_species(name='X_N', init_conc=1e-4)\n",
    "bl.add_species(name='X_I', init_conc=2e-5)\n",
    "bl.add_species(name='X_S', init_conc=2.5e-7)\n",
    "bl.add_species(name='X_M', init_conc=5e-9)\n",
    "\n",
    "# ED\n",
    "bl.add_species(name='C6H6O', init_conc=10e-4)\n",
    "bl.add_species(name='CH3COO', init_conc=0)\n",
    "bl.add_species(name='H2', init_conc=0)\n",
    "bl.add_species(name='TIC', init_conc=2e-4)\n",
    "\n",
    "k_fe = 0.15\n",
    "k_mn = 0.15\n",
    "\n",
    "# # EA\n",
    "bl.add_species(name='NO3', init_conc=2.9e-4)\n",
    "bl.add_species(name='MNO2', init_conc=4e-4 * k_mn)  \n",
    "bl.add_species(name='FEOOH', init_conc=3e-3 * k_fe)  \n",
    "bl.add_species(name='SO4', init_conc=6.6e-4)\n",
    "bl.add_species(name='FEOOH_LR', init_conc=3e-3 * (1 - k_fe))  \n",
    "bl.add_species(name='MNO2_LR', init_conc=4e-4 * (1 - k_mn))  \n",
    "\n",
    "# # Reduced EA:\n",
    "bl.add_species(name='FE2', init_conc=0)\n",
    "bl.add_species(name='MN2', init_conc=0)\n",
    "bl.add_species(name='N2', init_conc=0)\n",
    "bl.add_species(name='H', init_conc=0)\n",
    "bl.add_species(name='HS', init_conc=0)\n",
    "bl.add_species(name='CH4', init_conc=0)\n",
    "\n",
    "\n",
    "# Add Fe and Mn  sorption  with Kd\n",
    "bl.add_species(name='Fe2sorbed', init_conc=0)\n",
    "bl.add_partition_equilibrium('FE2', 'Fe2sorbed', 0.02)\n",
    "bl.add_species(name='Mn2sorbed', init_conc=0)\n",
    "bl.add_partition_equilibrium('MN2', 'Mn2sorbed', 0.06)\n",
    "\n",
    "# Henry law equilibrium:\n",
    "bl.add_species(name='CH4g', init_conc=0)\n",
    "bl.add_partition_equilibrium('CH4', 'CH4g', 1.4e-2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:32.132085Z",
     "start_time": "2020-07-02T18:10:32.127861Z"
    }
   },
   "outputs": [],
   "source": [
    "# Half-saturation constants\n",
    "bl.constants['K_M_C6H6O'] = 1.1e-4\n",
    "bl.constants['K_M_CH3COO_N'] = 5e-4\n",
    "bl.constants['K_M_CH3COO_MN'] = 5e-4\n",
    "bl.constants['K_M_CH3COO_FE'] = 5e-4\n",
    "bl.constants['K_M_CH3COO_S'] = 1e-4\n",
    "bl.constants['K_M_CH3COO_TIC'] = 5e-4\n",
    "bl.constants['K_M_NO3'] = 8.1e-6\n",
    "bl.constants['K_M_SO4'] = 1.6e-4\n",
    "bl.constants['K_M_H2_N'] = 1e-7\n",
    "bl.constants['K_M_H2_MN'] = 5e-7\n",
    "bl.constants['K_M_H2_FE'] = 5e-7\n",
    "bl.constants['K_M_H2_S'] = 1e-6\n",
    "bl.constants['K_M_H2_CH4'] = 5e-6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:32.136608Z",
     "start_time": "2020-07-02T18:10:32.133362Z"
    }
   },
   "outputs": [],
   "source": [
    "# inhibition terms\n",
    "bl.constants['K_I_AC_NO3'] = 1.6e-5\n",
    "bl.constants['K_I_AC_SO4'] = 1.6e-5\n",
    "bl.constants['K_I_FEOOH_LR'] = 1e-6\n",
    "bl.constants['K_I_FEOOH_MR_SO4'] = 1e-6 \n",
    "bl.constants['K_I_FEOOH_MR_MN'] = 1e-7 \n",
    "bl.constants['K_I_FEOOH_MR_FE'] = 1e-7\n",
    "bl.constants['K_I_SO4_MN'] = 1e-5\n",
    "bl.constants['K_I_SO4_FE'] = 1e-5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:32.142181Z",
     "start_time": "2020-07-02T18:10:32.138194Z"
    }
   },
   "outputs": [],
   "source": [
    "# rate constants\n",
    "bl.constants['K_MAX_F'] = 3.8e-8\n",
    "bl.constants['K_AC_MAX_N'] = 2e-5\n",
    "bl.constants['K_AC_MAX_MN'] = 9e-8\n",
    "bl.constants['K_AC_MAX_FE'] = 4.1e-7\n",
    "bl.constants['K_AC_MAX_S'] = 1e-5\n",
    "bl.constants['K_AC_MAX_CH4'] = 5e-9\n",
    "bl.constants['K_H2_MAX_N'] = 1e-7\n",
    "bl.constants['K_H2_MAX_MN'] = 1.1e-8\n",
    "bl.constants['K_H2_MAX_FE'] = 5e-8\n",
    "bl.constants['K_H2_MAX_S'] = 9e-8\n",
    "bl.constants['K_H2_MAX_CH4'] = 1e-8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:32.149431Z",
     "start_time": "2020-07-02T18:10:32.145474Z"
    }
   },
   "outputs": [],
   "source": [
    "bl.rates['r_ferm'] = 'K_MAX_F * X_F * C6H6O / (K_M_C6H6O + C6H6O)'\n",
    "bl.rates['r_a1'] = 'K_AC_MAX_N * X_N * CH3COO / (CH3COO + K_M_CH3COO_N) * NO3 / (NO3 + K_M_NO3)'\n",
    "bl.rates['r_a2'] = 'K_AC_MAX_MN * X_I * CH3COO / (CH3COO + K_M_CH3COO_MN) * K_I_AC_NO3 / (NO3 + K_I_AC_NO3)'\n",
    "bl.rates['r_a3'] = 'K_AC_MAX_FE * X_I * CH3COO / (CH3COO + K_M_CH3COO_FE) * K_I_AC_NO3 / (NO3 + K_I_AC_NO3)'\n",
    "bl.rates['r_a4'] = 'K_AC_MAX_S * X_S * CH3COO / (CH3COO + K_M_CH3COO_S) * SO4 / (SO4 + K_M_SO4) * K_I_AC_NO3 / (NO3 + K_I_AC_NO3)'\n",
    "bl.rates['r_a5'] = 'K_AC_MAX_CH4 * X_M * CH3COO / (CH3COO + K_M_CH3COO_TIC) * K_I_AC_NO3 / (NO3 + K_I_AC_NO3) * K_I_AC_SO4 / (SO4 + K_I_AC_SO4)'\n",
    "bl.rates['r_h1'] = 'K_H2_MAX_N * H2 / (H2 + K_M_H2_N) * NO3 / (NO3 + K_M_NO3)'\n",
    "bl.rates['r_h2'] = 'K_H2_MAX_MN * H2 / (H2 + K_M_H2_MN)'\n",
    "bl.rates['r_h3'] = 'K_H2_MAX_FE * H2 / (H2 + K_M_H2_FE)'\n",
    "bl.rates['r_h4'] = 'K_H2_MAX_S * H2 / (H2 + K_M_H2_S) * SO4 / (SO4 + K_M_SO4) * K_I_FEOOH_MR_SO4 / (K_I_FEOOH_MR_SO4 + FEOOH)'\n",
    "bl.rates['r_h2b'] = 'K_H2_MAX_MN * H2 / (H2 + K_M_H2_MN) * K_I_FEOOH_MR_MN / (K_I_FEOOH_MR_MN + FEOOH) * K_I_SO4_MN / (K_I_SO4_MN + SO4)'\n",
    "bl.rates['r_h3b'] = 'K_H2_MAX_FE * H2 / (H2 + K_M_H2_FE) * K_I_FEOOH_MR_FE / (K_I_FEOOH_MR_FE + FEOOH) * K_I_SO4_FE / (K_I_SO4_FE + SO4)'\n",
    "bl.rates['r_h5'] = 'K_H2_MAX_CH4 * H2 / (H2 + K_M_H2_CH4) * K_I_FEOOH_LR / (K_I_FEOOH_LR + FEOOH_LR)'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:32.156591Z",
     "start_time": "2020-07-02T18:10:32.151217Z"
    }
   },
   "outputs": [],
   "source": [
    "bl.dcdt['X_F'] = '1.2 * r_ferm'\n",
    "bl.dcdt['X_N'] = '0.4 * r_a1'\n",
    "bl.dcdt['X_I'] = '1.2 * r_a2 + 1.2 * r_a3'\n",
    "bl.dcdt['X_S'] = '0.1 * r_a4'\n",
    "bl.dcdt['C6H6O'] = '-r_ferm'\n",
    "bl.dcdt['CH3COO'] = '2.4 * r_ferm - r_a1 - r_a2 - r_a3 - r_a4 - r_a5'\n",
    "bl.dcdt['H2'] = '2 * r_ferm - r_h1 - r_h2 - r_h2b - r_h3 - r_h3b - r_h4 - r_h5'\n",
    "bl.dcdt['TIC'] = '1.6 * r_a1 + 0.8 * r_a2 + 0.8 * r_a3 + 1.9 * r_a4 + 0.6 * r_a5 - 0.25 * r_h5'\n",
    "bl.dcdt['NO3'] = '- 1.28 * r_a1 - 0.4 * r_h1'\n",
    "bl.dcdt['MNO2'] = '- r_h2'\n",
    "bl.dcdt['FEOOH'] = '- 2 * r_h3'\n",
    "bl.dcdt['SO4'] = '-0.95 * r_a4 - 0.25 * r_h4'\n",
    "bl.dcdt['FE2'] = '3.2 * r_a3 + 2 * r_h3 + 2 * r_h3b'\n",
    "bl.dcdt['MN2'] = '1.6 * r_a2 + r_h2 + r_h2b'\n",
    "bl.dcdt['N2'] = '0.64 * r_a1 + 0.2 * r_h1'\n",
    "bl.dcdt['H'] = '0'\n",
    "bl.dcdt['HS'] = '0.95 * r_a4 + 0.25 * r_h4'\n",
    "bl.dcdt['CH4'] = '0.6 * r_a5 + 0.25 * r_h5'\n",
    "bl.dcdt['X_M'] = '0.8 * r_a5'\n",
    "bl.dcdt['FEOOH_LR']  ='- r_h3b - 3.2 * r_a3'\n",
    "bl.dcdt['MNO2_LR']  ='- r_h2b - 1.6 * r_a2'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:11:33.134587Z",
     "start_time": "2020-07-02T18:10:32.158128Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Simulation started:\n",
      "\t 2020-07-02 20:10:32\n",
      "\n",
      "\n",
      "Estimated time of the code execution:\n",
      "\t 0h:01m:11s\n",
      "Will finish approx.:\n",
      "\t 2020-07-02 20:11:51\n"
     ]
    }
   ],
   "source": [
    "bl.solve()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:11:33.378329Z",
     "start_time": "2020-07-02T18:11:33.136673Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "'c' argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with 'x' & 'y'.  Please use a 2-D array with a single row if you really want to specify the same RGB or RGBA value for all points.\n",
      "'c' argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with 'x' & 'y'.  Please use a 2-D array with a single row if you really want to specify the same RGB or RGBA value for all points.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(0, 0.004)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "TIC = np.array([7.863, 8.411, 9.998, 13.579, 12.024, 15.631, 19.147, 17.681, 21.629, 23.262, 24.773, 24.387, 24.394, 26.843, 25.538, 21.211, 25.840, 23.891, 26.077, 28.489])\n",
    "TIC_t = [122.147, 131.915, 144.467, 153.598, 176.683, 189.495, 199.395, 210.770, 247.330, 295.336, 330.495, 342.313, 365.250, 386.638, 444.955, 456.222, 465.128, 473.360, 479.726, 545.687]\n",
    "C6 = np.array([9.169, 9.693, 9.259, 9.654, 9.480, 9.175, 9.874, 9.486, 9.143, 8.884, 8.412, 8.412, 8.328, 8.069, 8.243, 8.030, 7.415, 6.289, 5.467, 4.652, 4.477, 4.477, 4.089, 3.830, 3.053, 2.497, 1.630, 1.202, 1.293, 1.034, 0.342, 0.342, 0.342, 2.696, 2.052, 0.907, 0.476, 0.399])\n",
    "C6_t = [3.286, 6.009, 9.465, 12.410, 15.389, 20.246, 26.868, 33.560, 43.091, 57.068, 72.554, 82.637, 93.192, 103.973, 113.058, 121.410, 131.636, 133.106, 143.961, 153.046, 175.449, 189.721, 199.287, 211.426, 246.847, 295.959, 330.171, 343.194, 365.081, 386.452, 445.421, 456.787, 465.838, 473.159, 480.518, 545.520, 551.482, 592.637]\n",
    "\n",
    "\n",
    "ax = bl.plot(['TIC', 'C6H6O',], time_factor=1/24/60/60)\n",
    "ax.scatter(TIC_t, TIC*1e-4,  c=sns.color_palette('deep', 10)[0])\n",
    "ax.scatter(C6_t, C6*1e-4,  c=sns.color_palette('deep', 10)[1])\n",
    "ax.set_xlim(0, 470)\n",
    "ax.set_ylim(0, 4e-3)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:11:33.594458Z",
     "start_time": "2020-07-02T18:11:33.379733Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "'c' argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with 'x' & 'y'.  Please use a 2-D array with a single row if you really want to specify the same RGB or RGBA value for all points.\n",
      "'c' argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with 'x' & 'y'.  Please use a 2-D array with a single row if you really want to specify the same RGB or RGBA value for all points.\n",
      "'c' argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with 'x' & 'y'.  Please use a 2-D array with a single row if you really want to specify the same RGB or RGBA value for all points.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(0, 0.001)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Ac_t = [1.975  , 43.952 , 53.565 , 72.077 , 82.769 , 93.567 , 103.181, 113.229, 122.162, 132.207, 132.672, 152.872, 175.652, 189.071, 198.469, 143.686, 211.170, 247.230, 330.862, 295.986, 365.090, 342.522, 386.724, 445.563, 464.544, 455.861, 473.120, 479.979, 545.557, 592.244 ]\n",
    "Ac = np.array([0.151, 0.076, 0.076, 0.454, 0.904, 1.730, 2.148, 2.733, 2.567, 1.752, 2.025, 1.528, 1.062, 1.860, 2.056, 0.542, 3.228, 3.248, 1.584, 2.247, 1.315, 1.513, 3.331, 1.353, 1.115, 2.874, 5.951, 7.078, 8.467, 3.590])\n",
    "SO4 = np.array([6.408, 7.057, 7.819, 7.819, 7.916, 6.495, 6.689, 6.606, 6.565, 7.765, 6.563, 6.894, 7.722, 7.402, 6.532, 6.243, 4.808, 3.513, 2.668, 1.246, 0.541, 0.485, 0.140, 0.0140, 0.0140, 0.0140, 0.0140, 0.0140, 0.0155, 0.0155, 0.0167, 0.0167, 0.0167])\n",
    "SO4_t = [2.723, 13.089, 4.890, 8.790, 17.206, 20.093, 26.377, 32.916, 44.509, 57.545, 72.279, 81.922, 92.285, 103.192, 113.844, 121.571, 131.145, 134.215, 144.109, 152.343, 176.614, 189.505, 198.641, 211.750, 247.682, 296.403, 330.419, 343.459, 366.427, 387.480, 444.682, 455.121, 465.015]\n",
    "NO3 = np.array([2.858, 3.135, 2.887, 2.679, 2.831, 2.183, 2.127, 1.753, 0.167, 0.114, 0.072, 0.043, 0.043, 0.085, 0.085, 0.085, 0.085, 0.0])\n",
    "NO3_t = [2.708, 4.875, 9.209, 12.602, 16.250, 20.333, 26.902, 33.403, 43.515, 57.023, 72.009, 82.448, 94.109, 105.050, 114.476, 122.276, 132.459, 143.584]\n",
    "\n",
    "ax = bl.plot(['SO4', 'NO3','CH3COO'], time_factor=1/24/60/60)\n",
    "ax.scatter(Ac_t, Ac*1e-4, c=sns.color_palette('deep', 10)[2])\n",
    "ax.scatter(SO4_t, SO4*1e-4,  c=sns.color_palette('deep', 10)[0])\n",
    "ax.scatter(NO3_t, NO3*1e-4,  c=sns.color_palette('deep', 10)[1])\n",
    "ax.set_xlim(0, 470)\n",
    "ax.set_ylim(0, 1e-3)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:11:33.802855Z",
     "start_time": "2020-07-02T18:11:33.595765Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "../porousmedialab/plotter.py:102: MatplotlibDeprecationWarning: Adding an axes using the same arguments as a previous axes currently reuses the earlier instance.  In a future version, a new instance will always be created and returned.  Meanwhile, this warning can be suppressed, and the future behavior ensured, by passing a unique label to each axes instance.\n",
      "  ax = plt.subplot(111)\n",
      "'c' argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with 'x' & 'y'.  Please use a 2-D array with a single row if you really want to specify the same RGB or RGBA value for all points.\n",
      "'c' argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with 'x' & 'y'.  Please use a 2-D array with a single row if you really want to specify the same RGB or RGBA value for all points.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(0, 470)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fe2=np.array([0.478,0.393,0.347,0.363,1.611,3.251,6.585,9.475,9.393,9.138,10.207])\n",
    "Fe2_t = [5.735, 38.461, 69.561, 99.869, 149.892, 190.223, 261.581, 356.076, 413.057, 477.192, 495.929]\n",
    "Mn2 = np.array([1.740,0.369,1.018,1.376,2.073,3.302,2.434,3.054,2.878])\n",
    "Mn2_t = [5.864, 100.037, 150.097, 190.314, 262.250, 356.388, 414.520, 476.941, 496.865]\n",
    "\n",
    "\n",
    "ax = bl.plot(['FE2'], time_factor=1/24/60/60)\n",
    "ax = bl.plot(['MN2'], time_factor=1/24/60/60)\n",
    "ax.scatter(Fe2_t, Fe2*1e-5,  c=sns.color_palette('deep', 10)[0])\n",
    "ax.scatter(Mn2_t, Mn2*1e-5,  c=sns.color_palette('deep', 10)[1])\n",
    "ax.set_xlim(0, 470)\n",
    "# ax.set_ylim(0, 1e-3)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:11:34.150585Z",
     "start_time": "2020-07-02T18:11:33.804545Z"
    }
   },
   "outputs": [],
   "source": [
    "bl.reconstruct_rates()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:11:37.093363Z",
     "start_time": "2020-07-02T18:11:34.152204Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Gg22OIBcBJMlAiBBgh/UL2uJwOJg59OTlMIV9SDIQIsiVVNax9bAxiT/MAZNt2F/QSKqY2pckAyGC3Np9Rbi7CxjZN4mkbpHWBtSKqYNSiI4wPnZ2HyvnQJGsjWwXkgyECHJ2nl/QXLeocM4c0FRWW+4O7EOSgRBBLhj6C8xmql6ex1/ulGRgF5IMhAhiBWU16PwyACLDHUzItEc9otaYq5iu3VdEWbU9y0d3NZIMhAhia0wL34/N6EFsVMAKEXdY78QYhqUbhYrrGlws3yUT0OxAkoEQQezk/gL7NxE1mmFqKvpihwwxtQNJBkIEsVU2rkfUmhmmpqJluoCGxuFQwjKSDIQIUrnHKzlQVAlATGQYY/p3tzgi741IT/SUzCiuqJW1kW1AkoEQQco8imhiZk+iI8ItjKZ9wsIcXDCsaTbyx5uPWBiNAEkGQgSt1UHaX9Do0pHpnseLt+ZJU5HFJBkIEYRcLtdJncdn2XyyWUsmZfUkJd5Y4KagrIZ1+4rbeIXwJ0kGQgShfYUV5JVWA5AQHcGIPokWR9R+EeFhzB7RdHfw8RZpKrKSJAMhgpD5rmDygJ5EhAfnn/Klo5qSwSdb8mSNAwu1OUNFKdWzrecATq21FCcXIkBWB1E9otZMyOxJakI0x8pqKKqoZe2+YqYOCt6fJ5h5M13xKHAYcLTynHCgv08iEkK0yul0sXpvcNUjOp3wMAcXj0znpVX7Afho8xFJBhbxJhls11qPbe0JSqlNPopHCNEGnV9GcUUtAD3jolBpCRZH1DlzRjclg0+25vGHy0cQGaTNXsHMmyv+pRfPObOzgQghvHNSCYoByYSFtXbTbn9jM3qQnhQDwInKOlbullpFVvAmGcxo6wla62ofxCKE8MIq04fllCBuImoUFubgEtOcg0XfyagiK8i9mBBBpL7ByVrTePyzQ6R9/YqxfT2PP9maR0VNvYXRdE3e9BmMVkrtA7YAW03/3am1lkLkQgTQ97kllLs/KPskxZCZHGtxRL4xvE8ig1Pj2XWsnKq6Bj7dlsfccf2sDqtL8ebOYDMwFfgnUARcCLwIFCqltvoxNiFEM+YmorMGpeBwBHd/QSOHw3HSh/+7Gw9bGE3X5NVKGFrrI8AR4LPGfUopBzDIT3EJIVqwwpQMpg4K/v4CsyvG9uHRT3ficsHKPYXklVTT292xLPzPmzuDf7W0U2vt0lrv8nE8QojTqKptYNPBprmdwViPqDXpSd04c4CR4Fwu+OA7uTsIpDaTgdb6+Zb2K6WmKqVaTBRCCN9bv7+YWne5hsGp8aQlht635uZNRS6XVDINlHYtmKqUGgPMA64G8oGhwE/b8frJwJ+11tOb7b8XuAUocO+6Q2ut2xObEKFu5R5zE1Fo3RU0mjWiN797fwvVdU50fhnbj5YyvE+S1WF1Cd7UJhoCXIuRBMqBt4DpWuv97lFGXlFK/RqYD1S0cHgccIPWeoO35xOiq1m1OzRKULQmPjqCi4b35gP3XIN3Nx6WZBAg3twZ7ATWAz/QWjcfPdSee7g9wFzg1RaOjQfuV0r1Bj7WWv+prZO5XC5qa2vb8faGujp7joa1Y1x2jAnsGZe/YzpRWcfWIyUAhDlgXL+ENn//7XidoO24LhuZ5kkGH3x3mHvPG+D38hTBeq18yZsrfBWwH/hcKfWqUmqOUiqyvW+ktX4HON1P9gZwJzATOFspdWl7zy9EKFu7v5jG5vORfZNI7NbuP8GgceaAnqQmGIveFJbX8s0uKU8RCG3eGWit3wPeU0rFAVcAdwDPK6UWA51eUcM9RPVvWusS9/bHwFjgo9Ze53A4iIqK6vD7dua1/mTHuOwYE9gzLn/FtHZ/0yiiswentOt97Hid4PRxRQFXjc/gqWV7AHhn01FmjwrMBLRgu1a+1OadgVLqTKWUQ2tdobV+XWt9KTAMWIMxG7mzEoGtSql4d2KYCUjfgRAm5v6CqSE2pLQlV0/I8Dz+ShdwrFTKn/mbN30GNwJPKqU0sARYorXOA55x/+sQpdQ8IF5r/axS6gHgK6AGWKq1XtzR8woRao6WVLG30Bh3ER0Rxrgzelgckf9lpcQxOasna/cV0+B08fbGXH4yXea4+pM3zUR3AiilhgKzgZeUUkkYH95LgJVa6wZv3kxrvR+Y4n680LT/VVruWBaiy1tpuiuYmNmTmMhwC6MJnGsmZniK8r25/hB3nTswZMpv2JHXXfRa651a68e11rMwmnJWAD8E1vorOCEELN9V4Hl8VoiVoGjN7BHpJMQY31f3F1WeVK1V+J438wweBCq11o817tNaVwGL3f+EEH7idLpYbhpNc87gXhZGE1jdosK5fEwfXltzEID/rD/ElAFdJxkGmjd3BvOBp5rvVErdqpS63/chCSEabTtS6lniMiU+imHpnR7AF1SumdC0tPriLUcpqbLnfIBQ4E0yqNJaV7aw/1Xgeh/HI4Qw+TrnmOfxtMG9gn6Jy/Ya0TfRkwBr6p0s+l5WQfMXr5KBUiq9+U6tdQ0gyxEJ4Uff5JiaiIaE/pDS5hwOB9dMbBpm+p/1By2MJrR5kwweAz5QSp1h3qmUSgWcfolKCEFpdR0bDx73bE/rQv0FZleM6UtUhPFRtfVwKVsPl1gcUWjypoT1WxhrGmxQSn2klHpYKfVHYCVGohBC+MGq3UXUO40aFCP6JpISH21xRNZIio3k4hG9PdsL18ndgT94NbRUa/0ykAW8CUQC1cCPtNav+TE2Ibq0b0xDSrvSKKKW/GhSU0fyB5sOe9aBFr7TnnkGZVrrV7TWv9Fa/wGIlsVthPAPl8vFNzlNyeDcIV07GUzK6smg1HgAKmobWPSddCT7Wrvqwiqlxiil/qyU2g/8FRlNJIRf7C2sIPd4FWDU+O8KJSha43A4Tro7WLjugIXRhCZvCtUNUUr9Xim1E3geKMZY3Gay+7EQwsfMdwVnDkz2ez3/YHDVuJM7kjfnnmjjFaI9Arm4jRDCS1+bksE5XbyJqFH32CguHZnOu5sOA7Bw7UFG9etucVShI2CL2wghvFNZW8+qPU3F6aZLMvC4boqpI/m7I5RWy4xkX/FmaOl7WutrgEEYVUrvAHKVUi/ig8VthBAnW7m7iNp6YwrPkLR4MnrGWhyRfYzr3wOVlgBAVV0DH7jvEkTntWc0kXlxm2x8t7iNEMLky535nsfnZadZGIn9OBwO5k1uujt4fe1BXC5prfaFDvVKaa2LtdbPaK1n+DogIboyp9PF0h1N9YjOG5pqYTT2dMXYvsREGh9dO/PK2HRIOpJ9wZvRRBt98RwhRNu2HSnlWFkNAD1iIxnbv2sPKW1JUrdI5ozq49leuFZmJPuCN6OJspVSm1s57gCSfBSPEF3aUlMT0QyVSngXq1LqrXmT+/PWhlwAPtp8hAcvHUZSNxnX0hneJIOhXjzHq2UvhRCt+3JnUxPRzGxpIjqdMRndyU5PZMfRUqrrnLy3MZebpmZZHVZQ82YNZJnqJ0QA5JdWsznXqMgZEeaQ+QWtaOxIfvB9Y+rTwnUHufGsTFkjuRNkWqMQNvGV6a5gUlZPEmOk2aM1V4zpQ2xUOAA5+eVsOHC8jVeI1kgyEMImlpqbiGQUUZsSYiK5bLR0JPtKp5KBUurfSqm/uBe6EUJ0UFVtAytMC9+fL/MLvGKec/DRlqOcqKy1MJrg1tk7g18A9yEF64TolG92FVBVZ4zDGNgrjsyUOIsjCg6j+nVnRF+jEEJtvZO33SOMRPt1KBkopXoAaK3ztdYNWmtZaUKITliyNc/zePaIU5YcF62YN6lpRd6F62RGcke1dz2Dc5VSW4FVSqk/KKVu8VNcQnQZtfVOvtjRNL9glmmJR9G2y8b0IT7aGBi5t6CCtfukoaIj2ntn8N/AOUAe8EfgJz6PSIguZvXeIsqqjZvrfj26MbyP1H9sj/joCC4fIx3JndXeZODUWhcDLq11NVDmh5iE6FKWbD3qeTxreG8ZK98B5o7kJVvzKK6QjuT2am8y2K2U+hOQrJS6D5AJaUJ0QoPTxWfbpImos4b3SWJ0hrHQTW2Dk7c3HLI4ouDT3mRwJ0YCWAFUALf6PCIhupD1+4spcn+L7ZUQzTgpTNdh15nXSF57EKdTOpLbo73J4D6t9dNa659qrf8B/MEfQQnRVZhHEV00PI0wKUzXYZeOTichxuhI3l9UedJqcaJt3hSqwz1q6FaMCqYXu3eHA5HA/d6+mVJqMvBnrfX0ZvvnAL8H6oEFWuvnvD2nEMHK6XTx6bamZDBruAwp7YzYqAiuGtePl1btB+C1NQc4e3CKtUEFEa+SAfAasBR4AHgYo2y1E/B6VQml1K+B+RjNS+b9kcDjwET3sZVKqQ+11nmnnqWJy+Witrb9nUR1dfZcM9WOcdkxJrBnXB2Jaf3+4xwtqQage2wkY/vFd+h32pcxBYI/47p6XLonGXy+I59DhaWkJcZYGlNnBDIur5qJtNY1Wuv9wEbgC+Ar4BtgQzveaw8wt4X92cBurfVxrXUtRn/EtHacV4ig9NEW013BsFQiw6VUWGcNSo1n4hlGR3KD08XbG49YHFHw8PbOoNGtwLnA74C3MMpReEVr/Y5SKrOFQ4lAiWm7DC8Wy3E4HERFRXn79qfozGv9yY5x2TEmsGdc3sZU1+BkiWkU0RXjMvz289jxOoH/4pp/VhbrD2wC4M0Nh7n7vCFEeJlou9q1MmvvV5FCrfVRIEFrvQzo6YMYSoEE03YC7Wh+EiIYrdhdyPFKowmgd2IMkzJ98ackwOiIT44zPjyPllTzlS6wOKLg0N5kUKKUugJwKaXuAHyx+sYOYLBSqqdSKgpjhvNqH5xXCNv68Lum5os5o9NlFJEPRUeE88MJGZ7t19bIdChvtDcZ3Ioxz+A+YAjGvIMOUUrNU0rdrrWuA+4FPsVIAgu01oc7el4h7K66ruGkUUSXje5rYTShad6k/jRO5P5mVwEHiyqtDSgIeDu0NAK4DDiutf7Kve8vwN+Br719M3cn9BT344Wm/R8CH3odtRBB7Mudx6ioNcpVZ6XEeUowC9/pnxzLOYN78XVOAS4X/Hv9QX4zy5vl3Lsub+8MXgeuAh5USv1MKXUJ8J37nxCiHRad1ETUR2oR+cn1U5pKW7+5/hA19Q0WRmN/3o4mGqi1nuBu098A1AAztNY7/BeaEKHneEUtX5qWtzQv2yh8a4bqRXpSDEdLqimqqOXTbflyvVvh7Z1BKYB7HkAYcKEkAiHa74PvDlPb4ARgTEZ3BqXGWxxR6IoID+PaiU31iqQjuXUdmeWS7y5jLYRop7dMyzL+YHw/CyPpGq6dlEG4e6TWun3F7MqXqvun420z0XCl1EKMMhSNjwHQWs/zS2RChJjtR0rZdqQUgKiIMOZIk4XfpSXGcEF2Gkvco7deX3uQhy4bbnFU9uRtMrja9PhpfwQiRKgzL9Z+0fDeJHWLtDCaruP6KWd4ksE7G3P59SxFbFR7iy+EPq+uiNba6+GjQohT1dY7ef+7pukzP5QmooA5a2Aymcmx7C+qpKy6no++P8rVEzPafmEXI5WxhAiAr/Qxz1KM6UkxTB0kpZUDJSzMcdKymK+vlY7klkgyECIA3lzftAzj3HF9PZ2aIjB+MD6DqAjj4+773BK25Ja08YquR5KBEH6We7ySL3XT3IIfjJcmikDrGRfFJSObFg+Su4NTSTIQws/+ve4gLvdyvNMGp5CVEmdtQF3U9VOamoo++O4IpdX2XNDGKpIMhPCj2non/zE1EV03+YxWni38aVz/HgztbVTLr6pr4L2NUg/TTJKBEH60ZFseheVGx3HvxBjOz061OKKuy+FwcF2zjmRX4y2bkGQghD+ZSyD8aFJ/r1fcEv5xxdi+xEaFA5CTX876/cctjsg+5DdTCD/JyS9j3T6jckt4mINrJ0nHsdUSYiK5fEzT+hGvrN5vWSx2I8lACD95dXXTXcFFw9NIS4yxMBrRaL6ptPWSrXnklVRbGI19SDIQwg9OVNaeVH7ieuk4to1hfRKZlGWsOV3vdPHqmv3WBmQTkgyE8IPX1x6kqs5YTCU7PZEzByZbHJEwu3lqpufxwrUHqa6ThW8kGQjhYzX1Dby0ar9n+7ZpWbKamc1cMKw3fexNphcAABdGSURBVLt3A+B4ZR2LNh+1OCLrSTIQwscWfXeEgrIaANISo7l0lJSqtpvwMAc3nZXp2X5l9aEuP8xUkoEQPuRyuXhhxT7P9o1nZXpq4gh7uXpiRtMw02PlrNnXtYeZym+pED60fFchO/OM1bRio8K5bpJ0HNtVUrdIrhrXVEr85dVdu16RJAMhfOjJZbs9j6+ekEFSrCxgY2c3mTqSv8op5EBRhXXBWEySgRA+sn7/cdbsNSaZRYQ5uOXsLIsjEm0Z2Cuec4f0AsDlggWmJr6uRpKBED7y5Nd7PY+vHNuXjJ6xFkYjvGVO2v/59hBF5TUWRmMdSQZC+MD3h0pYuce4KwhzwE9nDLI4IuGtaYNTyHZXM62uc3bZvgNJBkL4wL9MdwWXj+lLpqxZEDQcDge3Tcv0bL+8aj8VNfXWBWQRSQZCdNKW3BKW5RQC4JC7gqA0a1gqGT2MSWglVXW8YVqDoquQZCBEJ/3vZ9rz+OKR6QxKjbcwGtEREeFh3DK1aRjwC8v3UlvvtDCiwJNkIEQnrN5TxNc5BYDRV3DPeYMtjkh01NyxfUiJjwLgSEk1i74/YnFEgRURqDdSSoUBTwKjgRrgVq31btPxJ4CpQJl71+Va65JAxSdEe7lcLh79dKdn+4oxfRiSlmBhRKIzYiLD+fHULP7yqXGn9+Sy3Vw5ti/hYV2jrlQg7wyuAGK01mcC9wGPNTs+DrhIaz3d/U8SgbC1z7fns+ngCQAiwx3cPWOAxRGJzrp+yhkkRBvfkfcWVLDo+66zTnLA7gyAs4ElAFrrNUqpCY0H3HcNg4FnlVJpwAta6wWtnczlclFbW9vuIOrq6tr9mkCwY1x2jAnsEVeD08WjS5ruCq6d0JfUuIgO/U76ix2uU0vsGFdjTN0iI7nxzP78c5kxOuxvn+dw0dAUy5YrDeS1CuRPmAiYv+03KKUak1Ec8A/gemAW8BOl1KgAxiZEu7y76Qi7C4zSBXFR4dw+tX8brxDB4qYz+5MYY3w0HSiuYtHmPIsjCoxA3hmUAuYG1TCtdeNg3krg71rrSgCl1JcYfQubT3cyh8NBVFRUh4PpzGv9yY5x2TEmsC6usuo6Hl/aVIPotnMGkNY9ztKYWmPHmMCecUVFRZESFcVt0wbw2Oc5ADz59T6umtCfSIvuDhrj8rdA/nQrgYsBlFJTgC2mY0OAFUqpcKVUJEaT0sYAxiaE1/751W4Ky43moPSkGG4/R/oKQs1NUzPp7i4yeLC4kndMS5iGqkAmg/eAaqXUKuBx4JdKqXuVUpdprXcArwNrgK+BV7TW2wIYmxBe2V9YcVIxs/tmDyU2KpA32CIQEmIiuW1aU5J//IscqmpDe2nMgP0Wa62dwJ3Ndu80HX8UeDRQ8QjREY8s3kFdg7Ei1rj+3blstKxiFqpuOiuTF1fup7C8hvzSGp5fvpe7Q3geiUw6E8JLX+cU8Pn2fM/2/5szXNY2DmFx0RH8nwuHeLaf+noPx8qqLYzIvyQZCOGFqtoGfvd+UzfXVeP6MTqju4URiUD44fh+DEkzyotU1jbwty92WRyR/0gyEMIL//hyF4eKqwBjucT7Lx5qcUQiECLCw7j/4mzP9hvrDrIzr9TCiPxHkoEQbcjJL+PZb5pKVN8/eygp8dEWRiQCafqQXkwbnAKA0wW/e28rTqfL4qh8T5KBEK1wOl088O4W6t1//BMze3D1hAyLoxKB5HA4+H9zhhEZbvQPfXvgOG9tCL0S15IMhGjFy6v38+2B44CxrvEjV44krIsULhNNBqUmnDTU9E+f7KS4wj6lR3xBkoEQp7G3oJw/m+oP3XnuQKlK2oXdPXMw/dwL4JyorOOPi3dYHJFvSTIQogUNThe/eut7quuMBU6G9k7g7vNkBbOurFtUOH+4fLhn++0NuXxhGmoc7CQZCNGC55bvZaO7PHVEmIPHrh5NdES4xVEJq80cmsalo9I92/e9u5mi8hoLI/IdSQZCNLMlt4S/fpbj2f75eYMZ3ifJwoiEnfz35SNITTBGkxWW1/Lb97bicgX/6CIpqiIsU1xRy678Mg4dr6KmvoGo8DD69ujGsPREusdaU9GytLqOny7cSG2D0Tw0ql8Sd00faEkswp56xEXx56tG8eOX1gOwZFseb32by9UTg3uUmSQDETAul4sNB46zZGseX+cUsOtYeYvPC3PA6IzuXD0hgyvH9iUmMjDNMy6Xi/vf2cLB4koA4qMjeOLasZaWLhb2NGNoKj+a1J9/rzsIwIMfbGVYn0RG9A3eO0hJBsLvispreHtDLv/59hB73QvCtMbpgk0HT7Dp4Ake+yyH+2YPZe7Yvn4f0vnyqv18vOWoZ/tPc0eSmRLn1/cUwevBS7PZcKCYnPxyauqd/OT1jXx499kkdYu0OrQOkWQg/Cb3eCXPfbOXN9YfoqbeecrxqIgwhqTFk5UST3x0OBU1DewrrGDbkRIaJ3gWltfwq7e+550Nufzt2jGkJcb4JdZvcgr474+bhgpeN7k/c6QiqWhFbFQET10/nsv/uZLymnoOFlfys4UbWXDTxKC8m5RkIHxu97Fynv56D+9vOuyZudsoPjqCOaPTuXB4b6ZkJdMt6tQmoOMVtbyzMZfnl+8jr9SoErl6bxEX/305j18zhimZvr0V35Vfxk9f30iDO9ZR/ZJ48NJhPn0PEZoG9ornLz8YxV2vG2txLd9VyIPvb+VPc0cGXUVbSQbCZ7bklvDkst0s2ZZH88EVI/omctNZWVw8snebi8H0iIvi1mkDmDe5P39fuotnv9mLywVFFbXc+OI6fjFzEHdMy/RJzLnHK7npxfWU1RgrsKYnxfD8DRMC1k8hgt/sken8/LzBPLHUqGj6xvpD9O3eLejWPpBkIDrt2/3F/OPL3XydU3DKsclZPfnpjEFMG5zS7m9KsVER3D87m3OH9OKeN76joKwGlwseX7qbLUdKePyasSTEdLx99mhJFfOeW8vhE0Y10m6R4Tx3wwRS/dQUJULXL88fTO7xSt7deBiAxz7PoVtUOLdOC54lUSUZiA5xuVys2lPEP77cxZq9xaccP29oKj+ZMZDxZ/Ts9HudNTCFxT+fxk8XbmTdPuO9vthRwOX/Wsmz88czKLX9JSJ25Zdx04vrPYkgKjyMp64fF9SjQYR1HA4H/zN3FPml1azcXQTAwx/vwOFwcMvZWRZH553g6+UQlnI6XXyxPZ8rn1zFdc+vPSkROBxw6ah0Fv98Gi/cNNEniaBRr4RoXr91MjdPbfrD2ltQweX/XMknphFA3liyNY+5T63yJILIcAdPXT+O6SrVZ/GKricqIoznbpjApMym3/v//mg7f/08JygmpcmdgfBKRU0972zM5cWV+9lXePLw0PAwB1eO7ctd0wcysFe832KIDA/j93OGMTw9jt9+sJ3qOicVtQ3c9fpGbp6axS8vGNxqs1FBWQ1/+XQnb36b69kXFxXOP68bxwxJBMIHYqMiWPDjidy0YJ2n2u0TS3eRV1LFI1eOtPUoI0kGolWHT1Txxrd7+Pe6g5RW1590LCo8jKsn9uOOcwaS0TM2YDHNGZXO4NR4fvbGZs8EsQUr97Ho+yNcP6U/V4zpyxnJsTgcDhqcLrYfKeXdTbm89W0u5TVNP0Pf7t149obxUmpC+FR8dAQv3TyJn7y+kW/c/WhvfpvLnoIK/jVvHL2T7Nkn5QiG25eW7Nixw5Wdnd32E5uprTVqkEdFWVPu4HTsFFdNfQOfb8/njbUHWbm36JSRQQkxEVw7MYNbpw3w27j/1jReq6p6B7/4zya+0qd2XCfERBAfHUFxRW2LcxwuGZnOH68cSVKsbyYI2en/XyM7xgT2jMsfMdU1OLnvnS28s7HpTjQ5LorHrxnDOUN6WRbXhg0bNowfP35C8/1yZyAAo0N4y+ES3tt0mPc3HeZ4Zd0pz8lMjuXHU7O4anw/4qOt/9VJio3khRsnsuj7I/x5yU6OllR7jpVV11PW7E4GYHBqPA9cks30Ib2Cbhy4CC6R4WH87w9HMTgtnkeX7MTpHh59w4J1XDsxg/svzrbVbGXr/6KFZVwuF9uOlPLR5qN8vOWIZ8F3M4cDzh6Uwo1nZjJzaKrtVvkKC3Nwxdi+zB7Zm8+35/PuxsOs3198UiJIS4zmzAHJXDW+H1MHptjuZxChy+FwcOe5AxmT0Z2fLdxEobvc9RvrD/GVPsb9s7O5bHQfW/xOSjORTQQqrqraBtbsLeIrfYwvdx4j9/ipCQCM9vQrx6Rz1bg+ZKXaq029rWvldLo4XllLZW0D3WMjOzUXwVcxWcGOMYE94wpETMfKqvn9+9tYsi3vpP3D+yTym1lDW5yLI81EwmcanC52HC1lzd4iVuwuZPWeohbb0MFoZ79wWG8uH9OHqYNSaKg/takoGISFOUiOjybZ6kCEMElNiOHp+eP5ZMtRHvxgm+cuYduRUm5YsI5h6Yncfs4ALhmVbsmoI0kGIaamvoHtR0pZt6+YtfuKT2kyaS4hOoILhqVxyah0zh6cctJqXg2BCFiILmb2SONv7Zmv9/L8ir2epVW3Hy3lF//5joc/3sEVY/owd1w/BqUEboCGJIMgVt/gJCe/nM25J9h8uITNuSfQeWXUNbTe9Dc4NZ4ZQ1OZrnox4YyeREXYd+yzEKEoISaSX12kuH7KGTy5bDdvfnvIkxQKy2t4fsU+nl+xj6yUWGaqXlwwPJ3xZ/Tw6x2DJIMg4HK5yCutJie/nJy8MnR+Gbvyjf82/gK1JjUhmskDkpmc1ZNzh/QK6JwAIcTp9U6K4Q+Xj+CX5w/htTUHeHXNAY6VNa2pvK+wkhcKD/DCygPERYUz7oweTBmQzI1nZfp8RJ8kA5spKq9B55e5P/TLPR/6rTX1NJeVEsfYjO5MHtCTyVnJnglYQgh76hEXxd3nDeau6QNZsbuQdzYe5vPteSd92auobWD5rkKW7ypkxa5C/n37FJ/GELBkoJQKA54ERgM1wK1a692m47cBdwD1wMNa648CFZsVjlfUkpNfRs4x9wf+0VJ2FZRTXNG+Tts+STGM6tedURlJjOrbnZF9k3w2kUoIEVgR4WFMV6lMV6lU1Tbwjc5jWU4h3+wq8tTSAqis9f7Lodfv7fMznt4VQIzW+kyl1BTgMeByAKVUb+DnwAQgBlihlPpca11z2rN1gMvl4pOt+azdX0xYWNhJM2tdJz3v1L0nPdfVeNSFy2Us0+h0uXC6XDQ4G/cZj50u430b3NvHK2s5cqKa4oradsWeEBPBkLQEhqQloNLiGdLbeJwSH92u8wghgkO3qHBmqF7MUL2IjIwk93gV6/YVU1RRw6zh6T5/v0Amg7OBJQBa6zVKKfM410nASveHf41SajcwClh/upO5XC7PGFxvbTp4gnve3NzuwAMpJjKMQb3iGZIWz+DUOAanxjMkNZ60xOgWm3raew3ao67OnkNL7RiXxOQ9O8Zlx5jg5LjS4iOYM7KpoKKv//YDmQwSgRLTdoNSKkJrXd/CsTLA5zOdErrZp4skJjKMgSlxDEyNZ3CvOLKSYxiYEkdWrwRbzEYUQnQtgfx0LAXMq5CEuRNBS8cSgBOtnczhcLR7Vt6wvj35+Gdnsm7/cSLCwxtP1HTOk87fuM9xyj7zc8McDhwOo4xz88fGv5OPJXaLpE9SN3olRBNu+tC346zMRnaMCewZl8TkPTvGZceYIDBxBTIZrATmAG+6+wy2mI6tAx5RSsUA0UA2sNUfQQxOjWdwarxt/6cLIYQVApkM3gMuUEqtwvhi/WOl1L3Abq31IqXUE8ByjNXXfqu1rm7lXEIIIXwoYMlAa+0E7my2e6fp+HPAc4GKRwghRBOpQyCEEEKSgRBCCEkGQgghkGQghBACSQZCCCEI4qqllZWVhRs2bDhgdRxCCBFkzmhpZ9CugSyEEMJ3pJlICCGEJAMhhBCSDIQQQiDJQAghBJIMhBBCIMlACCEEQTzPwBtKqTDgSWA0UAPcqrXebTp+G3AHUA88rLX+yAYxPQFMxVjtDeByrXXJKSfyT2yTgT9rrac32z8H+D3GdVrgrjAbMK3EdS9wC1Dg3nWH1lr7OZZIYAGQibH2xsNa60Wm45ZcKy/isuJahWNUIlZAA/BjrfUe03GrrlVbcQX8WpneOxXYAFygtd5p2u/3axXSyQC4AojRWp/pXlDnMeByAKVUb+DnwAQgBlihlPrcvQ6zJTG5jQMu0loX+jmOkyilfg3MByqa7Y8EHgcmuo+tVEp9qLXOszIut3HADVrrDYGIxe16oEhrPV8plQxsAhaB5dfqtHG5WXGt5gBoracqpaYDf6Xp78/Ka3XauNysuFaN1+QZoKqF/X6/VqHeTHQ2sARAa70G44O/0SRgpda6xv3NezcwysqY3HcNg4FnlVIrlVI3ByCeRnuAuS3sz8ZYgOi41roWWAFMs0FcAOOB+5VSK5RS9wconreAB03b9abHVl6r1uICC66V1vp94Hb35hlAvumwZdeqjbjAmt8rgP8FngaONNsfkGsV6skgETA3sTQopSJOc6wMSLI4pjjgHxjf8mYBP1FKBSJBobV+B6hr4ZBV1wloNS6ANzAWTJoJnK2UujQA8ZRrrcuUUgnA28DvTIctu1ZtxAUWXCt3XPVKqZcxfq/fNh2y+vfqdHGBBddKKXUTUKC1/rSFwwG5VqGeDEqBBNN2mNa6/jTHEoATFsdUCfxda12ptS4DvsToW7CSVdepVUopB/A3rXWh+9vSx8DYAL13BvAV8KrWeqHpkKXX6nRxWXmtALTWNwJDgOeUUnHu3Zb/XrUUl4XX6maMZYGXAWOAV9xN2RCgaxXqfQYrMdoH33S3z28xHVsHPKKUisHocMsGtloc0xDgDaXUOIxEfTbwcgBias0OYLBSqidQDpyDcTtrtURgq1IqG6MddSZGB6pfKaXSgM+An2mtlzY7bNm1aiMuq67VfKCf1vpPGF90nBgdtmDttWotLkuuldb6HFN8y4A7TX0CAblWoZ4M3sPItqsAB/Bj90iB3VrrRe6RO8sxPnh/q7WutkFMrwNrMJpGXtFabwtATKdQSs0D4rXWz7rj+xTjOi3QWh+2IqYW4noA45twDbBUa704ACE8APQAHlRKNbbRPwfEWXyt2orLimv1LvCiUuobIBL4BTBXKWX171VbcVlxrU4R6L9BqVoqhBAi5PsMhBBCeEGSgRBCCEkGQgghJBkIIYQg9EcTCSFEyDldvS7T8VnAfe5NB8Yw9RFa6x2nO6eMJhICUEo9hlGGoDcQC+zFKFT2CHCZ1voPPn6/lzBq4LwAXOnePQVj/osTYwjyjwC01lN8+d4iuJnrdXnzu6GU+r9AD631A609T+4MhAC01v8HPGUBhmqt7zMd/s5Pb/trrfUS4O/u994PXNg430Up9QFGaQQhzBrrdb0KoJQaCTyBcQdQBNzcWOlYKdUPI3FMbOukkgyEaIW7quWdWutrlVK7gVUYxQS/xKgPMwnQ7mqhGcCzGFVwq4HbtdaHrIlchCqt9TtKqUzTrucwEsB2pdQtwK+B37qP3Qs87k01ZkkGQngvE6M8wVGgGJgM3A3sVUp1xygR8ITW+hOl1HnA/wDXWRSr6DqygSeVUmDMqM4BTxXkS2lKDK2SZCCE94q01gcBlFIVWuvt7sclGHcDI4EHlFK/wbhlr7UsUtGVaIz1Fw4qpaYC6e79I4CdWuuq07+0iSQDIbzX1miLncD/aq1XKaWGAucGICYh7sKochru3r7F/V+FMRDCK5IMhPCdXwFPuSvhdgPuAVBKvQH8IlCrw4nQp7XejzH6DPeKbNNbeM5bGIseeUWSgRAmWuuXmm0vA5a5H/c27Tc/HmN6yUUtnHYvTWtat/beme2JVQhfkhnIQvjf01rrltZwflQpNbOlFyilBiHDSkUAyaQzIYQQcmcghBBCkoEQQggkGQghhECSgRBCCCQZCCGEAP4//yzSQMWFZtgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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weHv8oCwcR5ZuFFEza2QuRQMyAWj0eHn6s10mJ7I3KfbCljbtbS32YwMFSUSXw+HgmpNaR+Y8sWIH7sDoJ2E8KfbClkJb9mMHSrGPlQWTBtCvTyoA+w828cbGMpMT2ZcUe2FLoS37cVLsYyY1OYkrZg0N3n/kk+34fLI5uRmk2AvbOdDgDm4qnprsZFiuXJyNpctmDCEl2V9qNpTW8sWuAyYnsicp9sJ2Qmd0jsjrQ3KS/BjEUm6fVC6YPDB4/+lVcqHWDPIpF7azraJ16d2RedKqN8KlM1q7cl7bsJfawLBXYRwp9sJ2SkKK/QjZlcoQkwqzgqOempq9LF5banIi+5FiL2ynJKQbR1r2xnA4HFw6Y0jw/tOrdsmFWoNJsRe206bPvp+07I1y/uSBpKckAbC1/FCbhehE7EmxF7bS3OJlV3XrolzDpWVvmIw0F+fLhVrTGFrslVJrlVIfBP571MhjCwGwu+YwnhZ/90H/zFTZhtBgl57QeqH2zS/LONTUbGIaezHsk66USgPQWs816phCtFciXTimGj8okzEFGRTvq6PR4+WNjWV8e9pgs2PZgpHNmklAulLqncBxb9FarzzWi30+H2535KvkeTzWG9JlxUxgzVyxzrS9onVP1CE5aWF/xux4rrqrq1znTyqgOLA37Yuf7+aCif1Nz2QWI3MZ2Y3TAPwNOBO4AXhKKSV/QwtDldYcDt4u7NvLxCT2tWDiAJyBRUZX7ahp828iYsfIYrsF+Fpr7QO2KKWqgAHA7o5e7HA4SElJ6fbBevLeWLFiJrBmrlhlKjvYFLw9NC8j4uPY6Vz11LFyFeamcPKoPD7cUgHA61+W86P5o0zNZDYjchnZsr8auANAKTUQyARkCTxhqDYt+2xp2Zvlm1MLg7cXr90jY+4NYGSxfxjoq5RaDjwLXK21lkvxwlDSjWMNZ4ztT0ZgJNT2ynpZHM0AhnXjaK3dwKVGHU+I9g42eqg97L8glpLsDK6zLoyX5krinAkDePZzfy/u4i9KmTpU9gGOJZlUJWxjT7tWvdMpWxGa6aLjBwVvv7GxDE+L7GIVS1LshW2EduEMkv56000flkNBZhoANQ0ePt1WZXKixCbFXthGaU3rMgmF2ekmJhEATqeDcyYMCN5/bf1eE9MkPin2wjZkJI71LJjUWuzf/mqfbEgeQ1LshW3sPSDF3momD+4b/Lc42NjMx1srTE6UuKTYC9vYH9h3FqB/oK9YmMvhcPCNiSFdORtk6k2sSLEXtlFe1zp7Nj9Dhl1axYKJrcsev7tpP42eFhPTJC4p9sIWfD4f5SFLJeRLy94yxg3MZFiu/4L5oaZmPtDlJidKTFLshS0caPDgDozj7pOaLOvYW4jD4eDckNb96xv3mZgmcUmxF7YgXTjWFjoEc1lxOU3N0pUTbVLshS2EXpzNz5RibzVFAzIYktPalfPp1zLBKtqk2AtbaNuyl/56q3E4HJw5rnUTk7e/kq6caJNiL2yh7bBLadlb0VnjC4K33920nxavLHscTV1epVJK5YTxdbxaa1mjVFhWuYyxt7wpg7PJy0iloq6Jqno3n++oZsaIXLNjJYxwhiSUAXuAzpYITAKGRCWREDEQ2o2TJxdoLcnpdHD62P48vWoXAG9/tV+KfRSFU+w3aa2ndPYCpdTaKOURIiZk9mx8OGtcQUix38dvzi3C4ZClqKMhnD77pWG8ZlZPgwgRSzL0Mj7MHJFLRpq/DbrnwGG+2nvQ5ESJI5xif2pXL9BaN3b1GiHMIrNn40dKspP5Y/KD92VUTvTIaByR8GT2bHwJHZUjxT56wvnUT1JKbQc2Al+G/L9Ya+2JZTghokG6cOLLnNF5pCY7aWr2smX/IXZXNzA4Rzab6alwWvYbgNnAv4Aq4AzgUaBSKfVlDLMJERUyeza+pKckc+LI1lE4723eb2KaxBHW37Na673AXuCdI48ppRzAcTHKJUTUyOzZ+DO/qD/LtH8jk6XF5Vw1e7jJieJfOMX+7o4e1Fr7gK2RHEwplQ+sAU7XWhdH8l4huktmz8afeSEXaVeWVFHX6CEjzWViovjXZbHXWj/U0eNKqdnApVrrH4ZzIKWUC7gfONzVa8E/gsLtdofz0jY8HutdRrBiJrBmrlhk2negdaPx3HSXfK5iLBq5+qUnUVSQweZ9dXhafCzbvI+zQtbOMSNTLBiZK6LROEqpyUqpvyqldgB/B74bwdv/BtyHvztICMO07cZJMTGJiMQ81S94+0iXjui+cNbGGQ18B7gUOAQ8D8zVWu8IjNLpklLqSqBCa/22UuqX4bzH4XCQktL9H8yevDdWrJgJrJkrmpkqDrW25Afm9JHPlUF6muuM8QO5+0N/iflwaxVJyS6SnD2bTZuo5yoc4fTZFwOrgW9prduPvgl3WbqrAZ9S6jRgMvCEUuo8rbUMohUxJ0Mv49OEQVnBhdGq692s213D1KHhrMsoOhJON843gR3Au0qpJ5VSCwL972HTWs/RWp+itZ4LrAOukEIvjCCzZ+OX0+lgnmq9UPveZtmbtie6LPZa6yVa64X4h1m+BVwPlCqlHgUyY5xPiB6pPSyzZ+PZ/KLWYr9Uin2PhNNnPwtYqbWuB54CnlJK5QLfAoZFesBA614IQ+w/KF048eykUf1ISXbibvai99fJbNoeCKeZ8z3gHqWUxt+yfyvQBXN/4D8hLEtmz8a39JRkZo/MDY7GeX/zfq6UCVbdEs44+xsAlFJjgLOBx5RSWcAy/MX/E621bAUvLElmz8a/eSGzad8vLpdi301hj7PXWhdrre/UWp8FzAOWAxcDq2IVToiektmz8S90yeNVJdXUNzWbmCZ+hdNn/xugQWt9x5HHtNaHgTcC/wlhWRUhLXvZoSo+DezbizEFGRTvq8Pd4mX515WcOa6g6zeKNsJp2V8O3Nv+QaXUteFOkBLCLKEte9l7Nn7JqJyeC6fYH9ZaN3Tw+JNEtlyCEIaTvWcTQ+jCaMt0OT5fuPM5xRFhFXul1ID2D2qtmwDpPBOWVi7dOAlh8uBsstP9cznL65pkb9puCKfY3wG8rJQaGvpgYLlib0xSCREFR82elW6cuJXkdDA3ZDbt+9KVE7Fwhl4+r5RKB9YopVbiX+7AiX8kzu9inE+Ibms/e7a3zJ6Na6eOyWfJ2j0ALNXl/OS0USYnii9hDb3UWj8ODAeeA1xAI3CJ1vrfMcwmRI/I7NnEcsqovOCql+t3H2gz0kp0LZJx9nVa6ye01r/QWt8GpCqlOtzFSggrkNmziSUr3cXUodnB+x9o6cqJRHc2L/lLNzcvEcJQcnE28cxvNypHhK/LYq+UGq2U+q1Sqhh4CKjGv3nJjMBtISypTcteunESQugQzI+2VOJuljEi4TJq8xIhDCezZxPPcfl9KMzuRWnNYQ41NfP5jmpOPK5f128UxmxeIoQZZPZs4nE4HG26ct4vlq6ccMnmJSJhyezZxHRqaL+9FPuwhT3wuN3mJTn4x9kPi1EuIXpMLtAmppkjcunlSuKwp4WSynq2V9YzvF9vs2NZXkSjcY7QWldrre/XWp8a7UBCRIPMnk1caa4kZof00y+V1n1YwhmN80U0XiOEkWT2bGKbJ105EQvnJ6BIKbWhk+cdQFaU8ggRFTJ7NrGFFvtV26s41NQsm8l3IZyzMyaM18i2hMJSyutk9mwiK8hKY+yATDaVHcTT4mP51grOGn/U4rwiRDgLoe3s6UGUUknAg4DC/4vhKq31tp5+XSGOJbRlLxdnE9P8onw2lfmXOn5/c7kU+y506wJtNywA0FrPBn6Lf6kFIWJGZs8mvjZDMHUFXq/M8eyMIZ1cWuuXlFKvBe4OBfZ39R6fz4fb7Y74WB6PJ+L3xJoVM4E1c0Ur074DrZur5aa7uvVZCpXI5yrajMpVlJ9OdrqLmgYPlYeaWLuzkgmDOr58aPdzBT1s2Sul/qOUuj2wkUmntNbNSqnHgbuAF3pyXCG6EjrGPj8jxcQkIlaSnA5OGd06BHOZrjQxjfX1tGV/I1CJf0ROl7TW31NK/QJYpZQaG5io1SGHw0FKSvd/SHvy3lixYiawZq6eZqqsb20xDczpE7XvMRHPVawYkeu0sQW8tK4MgI++ruLnZxWZnqk7jMjVrWKvlMrWWtdorbvsjgm8/nKgUGv9Z6AB/3aGMoJHxIwslWAPJ4/KI9npoNnrY0NpLeUHG8mXf+8ORbqe/SlKqS+BT5VStymlrgnzrYuBKUqpj4C3gRu11o1dvEeIbpHZs/aR1cvFtGGhG5pUmJjG2iJt2f8emAO8CPwJ+AR4uKs3Bbprvh1xOiG6QWbP2su8MfmsLPFvrbG0uJxvTx9sciJrivQCrVdrXQ34Ai3zuhhkEqJHZPasvcwb0z94++OtFTQ1Sw9xRyIt9l8rpf4M5CqlbgZ6POFKiGgrqz0cvF2QJf23iW5kXm+G5KQDUO9uYfX2GpMTWVOkxf4G/AV+OVAPXBv1REL00L7a1stBUuwTn8PhaLNWzvvFYY0bsZ1Ii/3NWuv7tNY/1FrfBdwWi1BC9ERZSLEfIMXeFkKL/dLicnw+mU3bXlhXrgKjbq7FvwLmOYGHkwAX8MsYZROiW/a1Kfa9TEwijDJjRA7pKUk0uFvYWdVASWU9I/P6mB3LUsJt2f8buAR4DvhO4Pa3gFNilEuIbis7KC17u0lNTuKkkA1NZI37o4VV7LXWTVrrHcAXwHvAMuAjYE3sognRPWUH5AKtHbXvyhFtRdpnfy3+1vybwFXApqgnEqKHpBvHnkJXwfxsezUHG625+JlZIi32lVrrMiBDa/0BkBP9SEJ0X12jh7qmZgBSkp1kp7tMTiSM0j8zjfGDMgFo9vpYvlUWRgsVabGvVUpdAPiUUtcDeTHIJES37W/XX+9whLVGn0gQ80IW4H1/s3TlhOpON85O4GZgNP5x90JYRuiwywJZEMt25hW1zqb9cEu5bGgSIqxir5RKVkpdBEzTWq8NdOXcDvwgpumEiJCMsbe3iYOy6NfHv1xw5SE3G/bUmpzIOsJdIeopoBkYoJQaB2zHvwDaP2IVTIjuaDt7Vi7O2o3T6WCuyueFNaUALN28n8mD+5qcyhrC7cYZqbW+DDgLuB74HXBqYH16ISxDWvaizRBMLf32R4Rb7A8CaK3dgfecobXeHLNUQnTTPlkEzfZOGtWPZKf/wvyXew62uWhvZ93Zg3Z/YJljISxn7wFp2dtdZpqLE4a3jgqX2bR+4fbZj1NKPY1/r9kjtwHQWl8ak2RCRMjn87G7piF4f3B2uolphJnmjcnn021VALxfXM5FkwtMTmS+cIt96C5T98UiiBA9VV3vpsHt37iid0oSfWVClW3NG5PPH1739zR/8nUl7mYvKcnd6chIHGEVe631h7EOIkRPlda09tcPzkmXCVU2NiKvD8Ny09lR1UCDu4WV26uZM6pf129MYPb+VScSSmgXTqF04dje/JAJVm9vkn57KfYiYYS27AuzZYy93Z0zobWf/t3N5XgCm9DbVbh99j2ilHIBjwDDgFTgD1rrV4w4trCP3dUhF2dzpGVvd1MGZ1OQmca+g40caPDw2fYaTh07wOxYpjGqZf9doEprfTJwNvAvg44rbKRNn7207G3P6XRw1vjW1v2bX9l7b1pDWvbA88ALIfebu3qDz+fD7XZHfCCPx3prWFsxE1gzV08y7aquD97un+Hq1ufnWBLtXMWSlXKdUdSPxz7dAfi7choON5KcZJ3eayPPlSHftdb6kNa6TimVgb/o/9qI4wr78Hp97AmZUFXYVyZUCTh+cF/yM1IBqGnw8NmOGpMTmceolj1KqcHAEuAerfXTXb3e4XCQkpLS7eP15L2xYsVMYM1ckWbaV9uIu9l/AS6rl4vczN6xiJUQ58ooVsl1zoQBwdb9O8WVzC2yXr+9EefKkJa9Uqo/8A7wC631I0YcU9jL9srWLpzh/WJT6EV8OmdCa3F/+8t9NNt0VI5RnVe3ANnAb5RSHwT+kytoImqk2ItjmTY0m/wMf8u5qt7NZ9vtubSXId04WuufAD8x4ljCnrZXHgrelmIvQjmdDk4v6s9Tn+0G4NUNZZx4nP1m01rnsrQQPSAte9GZb0xonU37xsYymppbTMLVrfgAABFuSURBVExjDin2IiFIsRedOX5w3+AIrdrDHpYVV5icyHhS7EXca27xsitk9uwwKfaiHafTwYKJrRdql6wtNTGNOaTYi7i358BhPC0+APIzUumTatiIYhFHzpvUWuyXFVdwoCF6k+7igRR7EfdKQrpwpFUvjmVkXm8mFmYB4G7x8vrGMpMTGUuKvYh728pbR+KMzJNiL47twimDgrdfWrvHxCTGk2Iv4l7xvrrg7dH9M0xMIqxuwaSBJAU2I1+9o4adVfVdvCNxSLEXcW/L/tZirwqk2Itj69cnlVNG5wXvP7t6t4lpjCXFXsS1Fq+vbbGXlr3ownemDw7efn5NqW02NZFiL+LaruoGGj3+H9Z+fVLJ7ZNqciJhdfPG5AdXwqyoa+L9zfbYslCKvYhrOqS/fox04YgwJCc5+fa01tb9M6t3mZjGOFLsRVwLLfbSXy/CtTCkK+fDLRWUhmxWn6ik2Iu4VrzvYPC29NeLcA3OSefkUf7F0Hw+eM4GF2ql2Iu4tqG0Nnh73KBME5OIeHPJCUOCt/+zenfCL44mxV7ErcpDTew54N9kPDXZKWPsRUROH9ufgkz/4mgVdU28viGxZ9RKsRdxa2Noq35gJi4LbSQtrM+V5OTyWUOD9x9evh2fz2diotiSnw4Rt9aXHgjenljY18QkIl5desIQUpP9ZfCrvQdZncAbkkuxF3ErtL/+yAJXQkQiu3cKFx1fGLz/yPLtJqaJLSn2Ii75fD42SMteRMHVs4cFb7+9aR/bKg4d+8VxTIq9iEvbKuqpPORfjzyrl4sRsrSx6KZR/TOYq/zr5fh8cO8H20xOFBtS7EVcWrW9Knj7hOE5OAMrGQrRHT+ad1zw9pK1e9hdnXiTrKTYi7i0sqQ6eHvG8BwTk4hEMHVoDrNG5AL+xfXu+zDxWveGFnul1Ayl1AdGHlMkHp/Px6qS1pb9zMAPqRA9Edq6f/7zUvYG5nAkCsM261RK3QRcDoS1W4DP58PtjnyPSI/HE/F7Ys2KmcCaucLJVFJZT3ldEwCZacmMzE3r1mcl2rmMZsVMYM1c4WSaOjiDKYOzWLu7FneLl7+/U8yfLhhneq5oMbJlvw24yMDjiQT18dbWVv30YdnBnYeE6AmHw8GN81tb94vX7mVreeKMzDGsZa+1flEpNSzc1zscDlJSUrp9vJ68N1asmAmsmauzTB+GFPv5RQWG5o+3c2UmK+bqKtMpYwqYMzqPj7ZU4PXB39/bxsNXTjc9VzTIBVoRV+oaPW1G4swbk29iGpGIbj5rDI7AH4vvF5ezYltV52+IE1LsRVxZvrUST4t//ZJxAzMpyEozOZFINGMHZnLh5EHB+7e+8lVCbF0oxV7ElTe/3Be8La16ESs/P1PRy5UEgN5fx6OfxP8yCoYWe631Dq31TCOPKRJHfVMz727aH7x/zoQBJqYRiWxg317ceNqo4P3/e29r3A/FlJa9iBvvbtrPYY9/g4nR/fvInrMipq4+aXhw97MGdwu/ffnLuF4CWYq9iBtL1u4J3j5/8iAcDhlyKWLHleTkDxeOD95/b3M5z39eamKinpFiL+LCzqp6PtpaEbx/3qSBJqYRdjF9WA7fC9ng5HevfsWuqvhcN0eKvYgLT67YyZG/oOeqPAbnpJsbSNjGzWcXMTLPv6pqvbuFnz63Li5H50ixF5Z3qKmZ5z7fHbz/vVnDzAsjbKdXShJ3LpxMcmCm9pqdNfzx9c0mp4qcFHtheY9/uoODjc0ADM1N55TReSYnEnYzsbAvPztDBe8/9ukOng9pgMQDKfbC0uoaPTzwUUnw/g/mjpS164UpbjhlBOdMKAje/9VLX/L5jupO3mEtUuyFpd29bBu1h/0rAw7JSW+zX6gQRnI4HNz+rUmM7t8HAHezl6sfW03xvoMmJwuPFHthWV+X1/HQx62t+p/MH4UrST6ywjy9U5N58Ipp9OvjX7jsYGMzVzz8GTurwlq53VTykyMsydPi5aYXNtDs9Q/BmTY0mwunDOriXULE3tDc3jx21QlkpPoXDS6va+Li+1awZX+dyck6J8VeWNKd727hi10HAEh2Ovj9BeOlr15YxvhBWTz4vWmkJvtLaHldEwvvX8G63QdMTnZsUuyF5Sxeu5d7PmjdA/RnZyiKBmSamEiIo80ckcvjV59A7xT/gmk1DR4W3r+Cl0JmeluJFHthKUuLK/j1y5uC908e1Y/r54wwMZEQxzZzRC5PL5pJ33QXAE3NXm58dh2/f20TTc0tJqdrS4q9sIznVu/mh8+sD/bTjynI4O7LjpfuG2Fpkwb3ZfH3T+S4/D7Bxx5evp3z//UJm8usM1JHir0wXX1TM794YQM3vbiBlkChH5zTi0evmk5mmsvkdEJ0bUReH5b84EROK+offKx4Xx3n/Ws5f35jM3WN5m/CLsVemKbF62PJ2lLm3/Ehz4bMRhxT0IcXv38iA7J6mZhOiMhkpLl44PKp3LpgbPDCrafFx/0flTDvjg95etUuU7t2DNtwXIgjyg828sr6vTy+Yge7q9tuCHHuhAJuW1BEToZsNyjij9Pp4MrZwzlpVB43v7iBz3fWAFBR18QtSzZy19KtXDdnBN+aWkiGwX+1SrEXMdfoaWFDaS0rS6pYvrWS1Turab8HRL8+qfzqG2M4Z2yerFMv4t5x+X14/oZZvLJ+L396YzP7DzYBUFbbyO9e3cRf39KcN2kg35xSwKTCLEMySbEXPebz+TjY2ExZ7WHKahvZV9vInprDbC2vY8v+Q+ysqsd7jA1++qa7uGLmUBbNGUFGmgu3221seCFixOFwcP7kQZxW1J+nVu3kgY+2U3nIX/QPe1p49vPdPPv5bgoyUzlzXAFnjitg6rBsUpOTYpJHir2Neb0+tlYcwu110uRp4bCnhUaPl0ZPC43NrbebPC00Nns57G7hYKOH2sOt/x0M/N/TEv52bQ4HzByey4JJA7lgykDSU+RjKBJX79RkrpszkitmDeP5z3fz75W70CGzbfcdbOLxFTt5fMVO0lxO5ozK4/cXjKd/ZnS7MuWnzKaaW7xcdP8qNpXFfoq3wwHD+/XmhGE5zByRy4nH5ZIvffLCZtJcSVw+axjfnTmUL3Yd4NnVu3jnq/0cONw6UqfR4+WdTfvpn5nG7y8Y38lXi5xhxV4p5QTuASYBTcC1WuuvjTq+aOuLXQeiWuh7uZIY0DeNAVlpFGT2YkBWGiPyejO6fwbH5fchzRWbP02FiDcOh4OpQ7OZOjSb//lGI6t31LB0SxUfbqlgZ2DLw/GDoj9j3MiW/QVAmtZ6llJqJnAHcH40D1Df1MzTK3exvbIeZ8jqiO0vBrbvcDh6w3hfp88f/fWO7sIIfY3X68UHOJ2dZeo85NGZOzhmJxnaP//q+r3B2/36pAQLclpyEmkuJ71SkkhNTvI/5nIGnnOSkeYiq5eLrPTA/wP/STEXInKuJCcnjsxlbtEAAPYc8I9OG5gV/b98jSz2JwFvAWitVyqlpnX2Yp/PF/HFuoc/3s7f35M/FiL1zSkD+dnpo7r/BXwtuN3RGT/s8Zg/+aQjVsxlxUxgzVxWzARH58pLT+rw8WgwclJVJlAbcr9FKRXVXzZZveQSRKRcSQ5OH5tvdgwhRIwZWR0PAhkh951a6+ZjvdjhcJCSkhLRAS6fNYIhOensqGogOaldt0K7sdvtR3K3H9rtaPeKo5/v/P2hX6O5xf9tJicnt3u+/deILGPHuTrPHcrb0sLEwixG9jdmnG8kIv23N4oVc1kxE1gzlxUzgTG5jCz2nwALgOcCffYbo30Ap9PB7JG5zB6Za6l/1CPdUVbKBMiYdiFsxMhivwQ4XSn1Kf5G61UGHlsIIWzNsGKvtfYCNxh1PCGEEK1k1UshhLABKfZCCGEDUuyFEMIGpNgLIYQNSLEXQggbsOyU04aGhso1a9bsNDuHEELEkaHHesLR0YJaQgghEot04wghhA1IsRdCCBuQYi+EEDYgxV4IIWxAir0QQtiAFHshhLABy46z70pXG5grpRYB1wPNwB+01q9ZJNc/gdnAkd2+z9da1x71hWKTbQbwF6313HaPLwB+i/9cPaK1ftCIPF1k+m/gGqAi8ND1WmttQB4X8AgwDEjF/9l5JeR5U85VGLkMP19KqSTgQUABLcBVWuttIc+bda66ymXKZytw7HxgDXC61ro45PGYn6u4LfZ0soG5UqoA+DEwDUgDliul3tVaN5mZK+B44EytdaUBWYKUUjcBlwP17R53AXcC0wPPfaKUelVrvc+sTAHHA1dordfEOkc73wWqtNaXK6VygbXAK2DuueosV4AZ52sBgNZ6tlJqLvB3Wn8GzTxXx8wVYMpnK3BO7gcOd/B4zM9VPHfjtNnAHH9hP+IE4BOtdVOg1fw1MNHsXIFW/yjgAaXUJ0qpqw3KBLANuKiDx4uAr7XWNVprN7AcONnkTABTgV8qpZYrpX5pUB6A54HfhNwP3TrTzHPVWS4w4XxprV8CrgvcHQrsD3natHPVRS4w77P1N+A+YG+7xw05V/Fc7DvbwLz9c3WAURutdparN3AX/lbaWcAPlFKG/BLSWr8IdLRlvWnnqpNMAM/g3+xmHnCSUupcgzId0lrXKaUygBeAX4c8bea56iwXmHe+mpVSj+P/XL8Q8pSZP4Od5QITzpVS6kqgQmv9dgdPG3Ku4rnYd7aBefvnMoADFsjVAPxDa92gta4DluLv2zeTmeeqQ0opB/B/WuvKQEvndWCKgccfDCwDntRaPx3ylKnn6li5zD5fWuvvAaOBB5VSvQMPm/656iiXiefqavzbsn4ATAaeCHQ3g0HnKp777DvbwPwz4I9KqTT8F7OKgC8tkGs08IxS6nj8v2hPAh43KNexbAZGKaVygEPAHPx/bpopE/hSKVWEvw9zHv6LkzGnlOoPvAP8l9b6/XZPm3auushlyvlSSl0OFGqt/4y/IePFf0EUzD1XneUy5VxpreeE5PsAuCGkT96QcxXPxf6oDcwDV9m/1lq/Ehj18jH+ovorrXWjRXI9BazE333xhNb6K4NytaGUuhToo7V+IJDvbfzn6hGt9R4LZLoFfyu2CXhfa/2GQTFuAbKB3yiljvSRPwj0NvlcdZXLjPO1GHhUKfUR4AJuBC5SSpn9ueoql1mfrTaM/hmUVS+FEMIG4rnPXgghRJik2AshhA1IsRdCCBuQYi+EEDYQz6NxhBAiIR1rzaiQ588Cbg7cdeAfxj1ea735WF9TRuOIhKeUugP/FPkCIB0owb8I1h+B87TWt0X5eI/hX3/lYeDCwMMz8c//8OIfnnsJgNZ6ZjSPLeJf6JpR4Xw+lFL/D8jWWt/S2eukZS8Sntb6ZxCcsj5Ga31zyNPrYnTYm7TWbwH/CBx7B3DGkfkeSqmX8U/bF6K9I2tGPQmglJoA/BN/C74KuPrISrlKqUL8vximd/VFpdgL2wqsiHiD1vo7SqmvgU/xL1S3FP/aJCcAOrDS5GDgAfyrqDYC12mtd5uTXCQyrfWLSqlhIQ89iL/Ab1JKXQPcBPwq8Nx/A3eGs6KvFHsh/IbhnzpfBlQDM4AfASVKqb74p6//U2v9plJqPvC/wGUmZRX2UgTco5QC/4zgLRBcRfdcWgt/p6TYC+FXpbXeBaCUqtdabwrcrsXfmp8A3KKU+gX+P6fdpiUVdqPxr7+/Syk1GxgQeHw8UKy1Pnzst7aSYi+EX1cjFYqBv2mtP1VKjQFOMSCTEADfx79KZlLg/jWB/yv8gw3CIsVeiPD8HLg3sJJqL+AnAEqpZ4AbDdqBSdiE1noH/hFcBHbUmtvBa57Hv6lNWKTYC9vQWj/W7v4HwAeB2wUhj4fenhzyljM7+LIltO4n3Nmxh0WSVYhokxm0QvTMfVrrjvbQ/atSal5Hb1BKHYcMuxQGk0lVQghhA9KyF0IIG5BiL4QQNiDFXgghbECKvRBC2IAUeyGEsIH/D1OKKqlGHljlAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bl.plot_rates()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernel_info": {
   "name": "python3"
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  },
  "nteract": {
   "version": "0.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
